具有二体和三体相互作用的玻色-爱因斯坦凝聚体中色散激波的交叉动力学
Crossover dynamics of dispersive shocks in Bose-Einstein condensates characterized by two and three-body interactions
摘要：
我们发现，与三原子相互作用相关的微扰非线性，与标准的两体排斥相互作用竞争，可以显着改变玻色-爱因斯坦凝聚体中的一维色散激波的演化。特别是，我们证明了一个丰富的交叉动力学的存在，从形成多个冲击正规化的共存列车的黑暗和反暗物质波，一维孤子崩溃。对于一个给定的散射长度，所有这些不同的制度可以通过改变凝聚体中的原子数来访问。
英文摘要：
We show that the perturbative nonlinearity associated with three-atom interactions, competing with standard two-body repulsive interactions, can change dramatically the evolution of 1D dispersive shock waves in a Bose-Einstein condensate. In particular, we prove the existence of a rich crossover dynamics, ranging from the formation of multiple shocks regularized by coexisting trains of dark and antidark matter waves, to 1D soliton collapse. For a given scattering length, all these different regimes can be accessed by varying the number of atoms in the condensate.
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